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Jun 17, 2019 at 5:57 comment added YCor Another thing occurring in $K$-algebras without identity [associative or not] is that ideals (as ring) can fail to be $K$-submodules (this is automatic in presence of identity). So we have to be careful with using the word "ideal". A typical example is just a 1-dimensional Lie algebra (=null ring).
Jun 17, 2019 at 3:57 history edited Martin Sleziak CC BY-SA 4.0
corrected a minor typo (the question has been bumped anyway)
Jan 26, 2015 at 2:35 history made wiki Post Made Community Wiki by Todd Trimble
Jan 25, 2015 at 19:57 comment added Todd Trimble I don't see it as a reason, but it's a cute fact worth recording.
Jan 25, 2015 at 17:51 history answered Gérard Lang CC BY-SA 3.0